Answer:
PV= $31,794.12
Explanation:
Giving the following information:
Monthly payment= $600
Number of months= 5*12= 60 months
Interest rate= 0.05/12= 0.004167
To calculate the present value of the monthly payments, we need to use the following formula:
PV= A*{(1/i) - 1/[i*(1 + i)^n]}
A= monthly payments
PV= 600*{(1/0.004167) - 1/ [0.004167*(1.004167^60)]}
PV= $31,794.12
One of the growers is excited by the price increase caused by the blight because he believes it will increase revenue in this market. As an economics student, you can use elasticities to determine whether this change in price will lead to an increase or decrease in total revenue in this market.Using the midpoint method, the price elasticity of demand for soybeans between the prices of
Full question attached
Answer:
Not elastic
Explanation:
The formula for demand elasticity= percentage change in quantity/percentage change in price
Therefore demand elasticity = Q2-Q1/Q2+Q1/2/P2-P1/P2+P1/2
Using graph of demand attached
= 12-15/12+15/2/21-15/21+15/2
= -3/27/2/6/36/2
=-2/9/1/3
=-2/3
=-0.67
Elasticity is less than one and so demand is inelastic
Trudeau’s Body Shop incurs total costs given by TC = 2,400 + 100 Q. If the price it charges for a paint job is $120, what is its break-even level of output?
Answer:
The break-even level of output is 120 units.
Explanation:
Since Total Cost formula is provided, we can use elements contained in the formulae to determine the break-even level of output.
The break-even level of output is the level of activity where a firm makes neither a Profit nor a Loss. In other words, Profit = $0
Step 1 : Collect data
So given :
TC = 2,400 + 100 Q
This means :
Fixed Costs = $2,400
Variable Costs = $100 per unit
Additional Information gives :
Selling Price per unit = $120
Step 2 : Determine the break-even level of output
Break even (units) = Fixed Costs ÷ Contribution per unit
where,
Contribution per unit = Selling Price - Variable Cost
= $20
thus,
Break even (units) = $2,400 ÷ $20
= 120 units
Conclusion :
The break-even level of output is 120 units.
Llewelyn Company purchased 1,000 shares of its own $10 par value common stock when the market price of the stock was $36 per share. What journal entries would be used to record the purchase of treasury stock?
Answer: Increase the treasury stock account and decrease the cash account by $36,000.
Explanation:
The journal entries that would be used to record the purchase of treasury stock will be to increase the treasury stock account and decrease the cash account by $36,000.
Note that the $36000 was calculated as:
= 1,000 shares × $36 per share
= $36,000
The tool within the "Assessing Opportunities" step of the Strategic Sourcing Process that graphically orders categories of numerical data in descending order so that the most important categories are easily recognized is called a:
Answer:
Pareto chart
Explanation:
A Pareto chart can be regarded as bar graph, The lengths of the bars are been arranged having longest bars on the left, on the right is the shortest bar, with this arrangement the chart visually gives a depiction about which situations are more significant. The lengths of the bars gives a representation of frequency or representation of cost i.e time or money. It should be noted that Pareto chart is the tool within the "Assessing Opportunities" step of the Strategic Sourcing Process that graphically orders categories of numerical data in descending order so that the most important categories are easily recognized.
The tool within the "Assessing Opportunities" step of the Strategic Sourcing Process that graphically orders categories of numerical data in descending order so that the most important categories are easily recognized is called a Pereto chart
A Pareto chart is simply known to be a type of chart that has bars and a line graph. It is the point where individual values are shown in descending order by bars, and the cumulative total is shown by the line.
It serves mainly to show the most important among a said large amount or set of factors.Pareto charts show the step by step frequency counts of data.Conclusively, the charts are used to show areas to focus on first in process improvement.
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If two firms are identical in all respects except that one has more of the fixed input capital than another, the marginal product curve for the firm with more capital: Group of answer choices will lie above the marginal product curve for the firm with less capital. must equal the marginal product curve for the firm with less capital. will lie below the total marginal curve for the firm with less capital. will show no diminishing marginal returns.
Answer: will lie above the marginal product curve for the firm with less capital.
Explanation:
Capital is needed to produce goods and services and ideally speaking, when more capital is invested, more goods and services will be able to be produced because more should bring in more.
It is the same case here, if the companies are similar in everything except capital invested, the company with more capital will be able to produce more goods and services which will lead to their marginal product curve lying above the marginal product curve of the company with less capital.
Cor-Eng Partnership was formed on January 2, 20X1. Under the partnership agreement, each partner has a 50/50 capital balance with a true up a payment required to equal the initial capital accounts. Partnership net income or loss is allocated 50/50. To form the partnership, Cor originally contributed assets costing $30,000 with a fair value of $80,000 on January 2, 20X1, while Eng contributed $20,000 in cash. Drawings by the partners during 20X1 totaled $3,000 by Cor and $9,000 by Eng. Cor-Eng's 20X1 net income was $25,000. Eng's initial capital balance (after the true up payment) in Cor-Eng is:______.
a. $25,000
b. $20,000
c. $50,000
d. $40,000
Answer:
Cash (Dr.) $20,000
Other Assets (Dr.) $80,000
Goodwill (Dr.) $60,000
Cor capital (Cr.) $80,000
Eng Capital (Cr.) $80,000
Explanation:
Goodwill is a firms excess asset value than its original cost. It is an intangible asset of a company. Eng and Cor both invested equal amount of value in the business. The fair value of assets is 80,000 which is 60,000 in excess of its cost.
Drew Davis goes to his local bank to get help developing a financial plan and making investment decisions. Which of the more recent services banks offer is Drew taking advantage of
Answer: b. Getting financial advice
Explanation:
As the number of banks in the world increases, banks are having to offer more products and services apart from their traditional roles as lenders in order to remain relevant and competitive. One such product is giving financial advice.
Banks now offer advice on how to make better investment decisions, develop financial plans and even organize your estate. This is what Drew Davis was taking advantage of here.
An investor purchases a 15-year, $1,000 par value bond that pays semiannual interest of $40. If the semiannual market rate of interest is 5%, what is the current market value of the bond
Answer:
Bond Price= $846.3
Explanation:
Giving the following information:
YTM= 0.05
Maturity= 15*2= 30 semesters
Par value= $1,000
Coupon= $40
To calculate the price of the bond, we need to use the following formula:
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 40*{[1 - (1.05^-30)] / 0.05} + [1,000 / (1.05^30)]
Bond Price= 614.90 + 231.38
Bond Price= $846.3
If the substitution effect of the real interest rate on saving is larger than the income effect of the real interest rate on saving, then a rise in the real interest rate leads to a ________ in consumption and a ________ in saving, for someone who's a lender.
Answer:
rise, fall
Explanation:
In the case when the subsitution effect with respect to the real rate of interest should be saved and more than the income effect on the real rate of interest so if there is an increased in the real rate of interest so there is an increase in the consumption also there is the fall in the savings
Also, if there is a more income effect, the consumption should rise and the savings would decline
Therefore the rise and fall should be considered to fill the blanks
The risk free rate currently have a return of 2.5% and the market risk premium is 5.77%. If a firm has a beta of 1.42, what is its cost of equity
Answer:
10.69%
Explanation:
Market risk premium = 5.77% or 0.0577
The beta = 1.42
Risk free rate = 2.5% or 0.025
Cost of equity = Risk free rate + Beta*Market risk premium
Cost of equity = 0.025 + 1.42*0.0577
Cost of equity = 0.025 + 0.081934
Cost of equity = 0.106934
Cost of equity = 10.69%
Credit terms are terms for a.when payments for merchandise are to be made with cash. b.when the payments for merchandise are to be made. c.when the returns of merchandise are to be made. d.when inventory is purchased.
Answer: b.when the payments for merchandise are to be made.
Explanation:
Credit terms refers to the payment terms which are mentioned on the invoice when a good is bought.
Credit terms are terms for when payments for merchandise are to be made. Credit Terms are made during sales on account. The credit term shows the discount rate tahts offered to the costumer and the time limit that the creditor is expected to pay.
The managing director of top dog companies
Answer:
What???
Explanation:
Jens-Peter Clausen. Managing Director and DE GmbH Partner.
Katrin Clausen. Manager.
Im not sure if my answer is right ▪_▪
The Dulac Box plant works two 8-hour shifts each day. In the past, 1000 cypress packing boxes were produced by the end of each day. The use of new technology has enabled them to increase productivity by 20%. Productivity is now approximately:____.
A) 32.5 boxes/hr.B) 40.6 boxes/hr.C) 62.5 boxes/hr.D) 81.25 boxes/hr.E) 300 boxes/hr.
Answer:
The Dulac Box
Productivity is now approximately:____.
= 75 boxes/hr
Explanation:
a) Data and Calculations:
Number of shifts per day = 2
Each shift works 8 hours
Total hours worked each day = 16 hours
Number of cypress packing boxes produced each day = 1,000
Productivity per hour = 62.5 boxes/hr (1,000 boxes/16 hours)
Increase in productivity from the use of new technology = 20%
Therefore, the number of cypress packing boxes produced each day will increase by 20% to 1,200 boxes (1,000 * 1.2)
New Productivity per hour = 75 boxes/hr
Supriya invested $14,320 in a highly rated ETF. At the end of four years, she had $18,434. What was her annual effective yield on this investment
Answer:
6.517%
Explanation:
Present Value PV = $14,320
Future Value FV = $18,434
Number of period Nper = 4
Annual effective yield = Rate(Nper, Pmt, Pv, -Fv)
Annual effective yield = Rate(4, 0, 14320, -18434)
Annual effective yield = 0.06517
Annual effective yield = 6.517%
A seller's opportunity cost measures the a. value of everything she must give up to produce a good. b. amount she is paid for a good minus her cost of providing it. c. out-of-pocket expenses to produce a good but not the value of her time. d. consumer surplus.
Answer:
a. value of everything she must give up to produce a good.
Explanation:
The opportunity cost of the seller determines the value of each and every thing in which the seller gives up the production of the a good in order to generating an output
So as per the given situation, the option a is correct
And, the rest of the options seems incorrect
5.
Stay at least feet behind any fire apparatus vehicle displaying flashing warning
lights and sounding a siren.
a. 27
b. 99
c. 312
d. 500
Risk assessment is an evaluation of the PPS supported by a number of analysis methodologies, including :__________.
Answer:
Threat analysis Consequence analysis Event and Fault tree analyses Vulnerability analysisExplanation:
Threat Analysis
Involves the identification of areas of the system in question that are vulnerable to risk and then identifying what those risks are.
Consequence Analysis
With consequence analysis, the possible effects of the risks identified will be analyzed to see how much damage they can cause.
Event and Fault tree analyses
Here a tree is used to show all of the possible effects of a risky activity failing. It is used to find out the cause of the worst case scenario.
Vulnerability analysis
As the term implies, vulnerability analysis is done to see which parts of a system are at risk and how vulnerable they are to this risk and then ranking these vulnerabilities so that they can be prioritized.
Valley Spa purchased $10,200 in plumbing components from Tubman Co. Valley Spa signed a 60-day, 14% promissory note for $10,200. If the note is dishonored, but Tubman intends to continue collection efforts, what is the journal entry to record the dishonored note? (Use 360 days a year.)
Answer:
Debit Accounts Receivable—Valley Spa $10,438 Credit Interest Revenue $238
Credit Notes Receivable $10,200.
Explanation:
Preparation of the the journal entry to record the dishonored note
Debit Accounts Receivable—Valley Spa $10,438
($10,200+$238)
credit Interest Revenue $238
($10,200 x 14% x 60/ 360)
Credit Notes Receivable $10,200
(To record the dishonored note)
Exercise 4-10 Preparing adjusting and closing entries for a merchandiser LO P3 The following list includes selected permanent accounts and all of the temporary accounts from the December 31 unadjusted trial balance of Emiko Co., a business owned by Kumi Emiko. Emiko Co. uses a perpetual inventory system. Debit Credit Merchandise inventory $ 40,000 Prepaid selling expenses 7,600 Dividends 53,000 Sales $ 609,000 Sales returns and allowances 21,500 Sales discounts 7,000 Cost of goods sold 252,000 Sales salaries expense 68,000 Utilities expense 25,000 Selling expenses 46,000 Administrative expenses 125,000 Additional Information Accrued and unpaid sales salaries amount to $1,800. Prepaid selling expenses of $2,900 have expired. A physical count of year-end merchandise inventory is taken to determine shrinkage and shows $34,700 of goods still available. (a) Use the above account balances along with the additional information, prepare the adjusting entries. (b) Use the above account balances along with the additional information, prepare the closing entries.
Answer:
Kumi Emiko Co.
a) Adjusting Journal Entries:
Debit Sales Salaries expense $1,800
Credit Sales Salaries Payable $1,800
To record accrued sales salaries.
Debit Selling expense $2,900
Credit Prepaid selling expense $2,900
To record expired selling expense.
Debit Cost of goods sold $5,300
Credit Merchandise Inventory $5,300
To record determined shrinkage in merchandise inventory.
b) Closing Journal Entries:
Debit Sales revenue $ 609,000
Credit Sales returns and allowances $21,500
Credit Sales discounts $7,000
Credit Income summary $580,500
To close the net sales revenue to the income summary.
Debit Income Summary $526,000
Debit:
Cost of goods sold $257,300
Sales salaries expense 69,800
Utilities expense 25,000
Selling expenses 48,900
Administrative expenses 125,000
To close cost of goods sold and expenses to the income summary.
Debit Income Summary $54,500
Credit Retained Earnings $54,500
To close the income summary to retained earnings.
Debit Retained Earnings $53,000
Credit Dividends $53,000
To close the dividend to retained earnings.
Explanation:
a) Data and Calculations:
Debit Credit
Merchandise inventory $ 40,000
Prepaid selling expenses 7,600
Dividends 53,000
Sales $ 609,000
Sales returns and allowances 21,500
Sales discounts 7,000
Cost of goods sold 252,000
Sales salaries expense 68,000
Utilities expense 25,000
Selling expenses 46,000
Administrative expenses 125,000
Analysis of additional Information:
Sales Salaries expense $1,800 Sales Salaries Payable $1,800
Selling expense $2,900 Prepaid selling expense $2,900
Cost of goods sold $5,300 Merchandise Inventory $5,300
Adjusted accounts:
Debit Credit
Merchandise inventory $ 34,700
Prepaid selling expenses 4,700
Dividends 53,000
Sales Salaries Payable 1,800
Sales $ 609,000
Sales returns and allowances 21,500
Sales discounts 7,000
Cost of goods sold 257,300
Sales salaries expense 69,800
Utilities expense 25,000
Selling expenses 48,900
Administrative expenses 125,000
In the 2008 global financial crisis, many investors considered the US economy a safe place to move their assets What is the predicted impact of this inflow of financial capital to the US, which is a large, open economy, on the US interest rate and the US exchange rate, holding other factors constant Illustrate your answer graphically and explain in words.
Answer:
Good for US interest rate and the US exchange rate.
Explanation:
The predicted impact of this inflow of financial capital to the United states of America is good for the economy as well as for US interest rate and the US exchange rate when the movement of assets occur to the United states of America. The economy of the United states of America gets to be better due to this action of investors. This 2008 global financial crisis greatly damaged the economy of United states of America so this action bring some betterment in the economy.
The table below pertains to a small agricultural economy where the typical consumer's basket
consists of 10 pounds of apples and 20 pounds of oranges. If 2017 is the base year, then the CPI
for 2018 was?
Year
Price of Apples
Price of Oranges
2017
$2.0 per pound (Apples)
$2.00 per pound (Oranges)
2018
$1.5 per pound (Apples)
$3.00 per pound (Oranges)
A) 125.0
B) 100.0
C) 95.0
D) 110.0
Answer:
125
Explanation:
Given the table:
Year
Price of Apples
Price of Oranges
2017
$2.0 per pound (Apples)
$2.00 per pound (Oranges)
2018
$1.5 per pound (Apples)
$3.00 per pound (Oranges
Consumer price index is obtained using the formular :
CPI = (Cost of market basket In current period / Cost of market basket in base period) * 100
Current period (2018):
Cost of 10 pounds of apple and 20 pounds of oranges :
($1.5 * 10) + ($3 * 20) = $15 + $60 = $75
Base year (2017)
Cost of 10 pounds of apple and 20 pounds of oranges :
($2 * 10) + ($2 * 20) = $20 + $40 = $60
Hence,
CPI = ($75 / $60) * 100
CPI = 1.25 * 100
CPI = 125
11. (-/1 Points] DETAILS BRECMBC9 5.11.010.
MY NOTES
Set up and solve an equation for the following business situation.
Pitt's Pit Stop sold $16,003.50 worth of gasoline yesterday. Regular sold for $3.30 a gallon and premium sold for $3.45 a gallon. If the station sold 370 more gallons of regular than premium, answer the
following questions.
(a) How many gallons of each type of gasoline were sold?
regular
gal
premium
gal
(b) If the profit on regular gas is $0.15 per gallon and on premium is $0.18 per gallon, what was the station's total profit (in dollars)?
$
Answer:
2190 ; 2560 ;
$778.2
Explanation:
Total worth of gasoline sold = 16003.50
Cost of regular = 3.30
Cost of premium = 3.45
Let :
premium Gallon sold = x
Regular gallon sold = 370 + x
Hence, mathematically;
(3.45*x) + (3.30 * (x + 370)) = 16003.50
3.45x + 3.30x + 1221 = 16003.50
6.75x = 16003.50 - 1221
6.75x = 14782.5
x = 14782.5 / 6.75
x = 2190
Premium Gallon sold = 2190 gallons
Regular gallon sold = 2190 + 370 = 2560 gallons
Profit per regular gallon sold = $0.15
Progit per premium Gallon sold = $0.18
Total profit = (2190 * 0.18) + (2560 * 0.15) = $778.2
Journalizing transactions using the direct write-off method versus the allowance method During August 2018, Lima Company recorded the following
. Sales of $133,300 ($122,000 on account $11,300 for cash). Ignore Cost of Goods Sold.
. Collections on account, $106,400.
. Write-offs of uncollectible receivables, $990.
. Recovery of receivable previously written off, $800.
Requirements
1. Journalize Lima's transactions during August 2018, assuming Lima uses the direct write-off method
2. Journalize Lima's transactions during August 2018, assuming Lima uses the allowance method.
Answer:
Lima Company
Journal Entries during August 2018:
1. Direct write-off method:
Debit Accounts Receivable $122,000
Debit Cash $11,300
Credit Sales Revenue $133,300
To record the sale of goods on credit and for cash.
Debit Cash $106,400
Credit Accounts Receivable $106,400
To record the cash receipts on account.
Debit Bad Debts Expense $990
Credit Accounts Receivable $990
To write-off uncollectible accounts.
Debit Cash $800
Credit Bad Debts Expense $800
To record the recovery of previously written off accounts.
2. Allowance Method:
Debit Accounts Receivable $122,000
Debit Cash $11,300
Credit Sales Revenue $133,300
To record the sale of goods on credit and for cash.
Debit Cash $106,400
Credit Accounts Receivable $106,400
To record the cash receipts on account.
Debit Allowance for Uncollectible Accounts $990
Credit Accounts Receivable $990
To record the write-off of uncollectible accounts.
Debit Accounts Receivable $800
Credit Allowance for Uncollectible Accounts $800
To reinstate the recovery of previously written off accounts.
Debit Cash $800
Credit Accounts Receivable $800
To record the recovery of previously written off accounts.
Explanation:
a) Data and Analysis:
1. Direct write-off method:
Accounts Receivable $122,000 Cash $11,300 Sales Revenue $133,300
Cash $106,400 Accounts Receivable $106,400
Bad Debts Expense $990 Accounts Receivable $990
Cash $800 Bad Debts $800
2. Allowance Method:
Accounts Receivable $122,000 Cash $11,300 Sales Revenue $133,300
Cash $106,400 Accounts Receivable $106,400
Allowance for Uncollectible Accounts $990 Accounts Receivable $990
Accounts Receivable $800 Allowance for Uncollectible Accounts $800
Cash $800 Accounts Receivable $800
3. The USD depreciates 2% versus the JPY. The USD appreciates 1% versus the MXN. What is the approximate appreciation or depreciation we might see in the MXN/JPY cross exchange rate
Answer:
The approximate appreciation or depreciation we might see in the MXN/JPY cross exchange rate is 3%.
Explanation:
The approximate appreciation or depreciation we might see in the MXN/JPY cross exchange rate can be stated using the folowing 3 steps.
Step 1. State the initial exchange rates of the currency pairs.
Let first assume the initial exchange rates are as follows:
USD1 = JPY1
USD1 = MXN1
Therefore, we have the initial cross rate as follows:
MXN1 = USD1 = JPY1
MXN1 = JPY1
Step 2. Determine the new exchange rates
The new exchange rates can be determined as follows:
When the USD depreciates 2% versus the JPY, this implies that USD1 * (100% + 2%) = USD1.02 has to be exchanged for JPY1. Therefore, we now have:
USD1.02 = JPY1, or
USD1 = JPY1/1.02
USD1 = JPY0.98
Also, when The USD appreciates 1% versus the MXN, this implies that USD1 * (100% - 1%) = USD0.99 has to be exchanged for MXN1. Therefore, we now have:
USD0.99 = MXN1, or
USD1 = MXN1/0.99
USD1 = MXN1.01
Therefore, we have the new cross rate as follows:
MXN1.01 = USD1 = JPY0.98
MXN1.01 = JPY0.98
MXN1.01 / 1.01 = JPY0.98/1.01
MXN1 = JPY0.97, or
MXN1/0.97 = JPY0.97/0.97
MXN1.03 = JPY1
Therefore, the new exchange rates are as follows:
USD1.02 = JPY1
USD0.99 = MXN1
MXN1.03 = JPY1
c. Determination of appreciation or depreciation we might see in the MXN/JPY
Percentage of depreciation of MXN against JPY = ((Initial MXN/JPY - New MXN/JPY) / Initial MXN/YPY) * 100 = ((1.03 - 1) / 1) * 100 = 3%
Since the percentage of depreciation of MXN against JPY is 3%, this also implies that the percentage of appreciation of JPY against MXN is 3%.
Therefore, the approximate appreciation or depreciation we might see in the MXN/JPY cross exchange rate is 3%.
Suppose a commercial bank has checkable deposits of $80,000 and the legal reserve ratio is 20 percent. If the bank's required and excess reserves are equal, then its actual reserves
Answer: $32000
Explanation:
The required reserves will be calculated as:
= Checkable deposit × Legal reserve ratio
= $80000 × 20%
= $16000
Excess reserves = $16000
Actual reserves will now be:
= Required reserves + Excess reserves
= $16,000 + $16,000
= $32,000
If a company can implement cash management systems and save three days by reducing remittance time and one day by increasing disbursement time based on $2,000,000 in average daily remittances and $2,500,000 in average daily disbursements and its return on freed-up funds is 10%, what is the maximum that it should spend on the system
Answer: $850,000
Explanation:
The maximum amount that'll be spent on the system goes thus:
Additional collections will be:
= $2,000,000 × 3 days
= $6,000,000
Delayed disbursements will be,:
= $2,500,000 × 1 day
= $2,500,000
Then, the increment on funds will be:
= Additional collection + Delayed disbursement
= $6,000,000 + $2,500,000
= $8,500,000
Hence, maximum amount will be:
= 10% × $8,500,000
= $850,000
You are considering a stock that is expected to pay dividends during the next five years of $0.50, $0,52, $0,54, $0,56 and $0.58. You estimate that you can sell the stock for $100 at the end of five years. Your required rate of return is 15% and the stock is currently selling for $65. If you purchase the stock, what rate of return do you expect to earn
Answer:
9.7%
Explanation:
The rate of return can be determined using a financial calculator
Cash flow in year 0 = -65
Cash flow in year 1 = $0.50
Cash flow in year 2 = $0.52
Cash flow in year 3 = $0.54
Cash flow in year 4 = $0.56
Cash flow in year 5 = $0.58 + $100
Rate of return = 9.7%
To find the rate of return using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the IRR button and then press the compute button.
Suppose you borrow at the risk-free rate an amount equal to your initial wealth and invest in a portfolio with an expected return of 16% and a standard deviation of returns of 20%. The risk-free asset has an interest rate of 4%. Calculate the expected return on the resulting portfolio.
Answer: 28%
Explanation:
First, we have to make an assumption that the initial wealth is 100, then the weight of the risk free asset will be:
= Amount invested in risk free / Initial wealth
= -100/100
= -1
The weight of the portfolio will be calculated as:
= 1 - weight of risk free asset
= 1-(-1)
= 1 + 1
= 2
Therefore, the expected return on the resulting portfolio will be:
= 2 × 16 + [(-1) × 4]
= 32 - 4
= 28
Amanda is playing a game of chance in which she rolls a number cube with sides numbered from to 1 to 6. The number cube is fair, so a side is rolled at random. This game is this: Amanda rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and 4 if a 4 is rolled. She loses $0,50 if a 4, 5 or 6 is rolled.
(a) Find the expected value of playing the game.
(b) What can Elsa expect in the long run, after playing the game many times?
1) Elsa can expect to gain money. She can expect to win__dollars per roll.
2) Elsa can expect to lose money. She can expect to lose___dollars per roll.
3) Elsa can expect to break even (neither gain nor lose money).
Answer:
a. 0.75
b. elsa can expect to gain money. 0.75$
Explanation:
x = 1/6 = 0.166667
given an outcome of 1,
1$ win * 0.166667 = 0.166667
given an outcome of 2,
$2 win * 0.166667 = 0.33333
given an outcome of 3,
$3 win*0.166667 = 0.5
remember that if she has an out come of 4, 5 and 6 she loses 0.5 dollars
given an outcome of 4,
-$0.5 * 0.166667 = -0.083333
given an outcome of 5,
-$0.5 * 0.166667 = -0.083333
given an outcome of 6,
-$0.5 * 0.166667 = -0.083333
The expected value of playing the game = 0.166667+0.333333+0.5-0.083333-0.083333-0.083333
= 0.750001
expected value of plying game = 0.75
b. in the long run, after playing the game many times, Elsa can expect to gain money. she can expect to win 0.75$ per role. option 1
Which correctly identifies a condition which must be met for creditors to force a firm into involuntary bankruptcy?
